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what is the answer please

What Is The Answer Please class=

Sagot :

Devishri1977idn

Answer:

Step-by-step explanation:

ΔABE ~ ΔACD

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]

Cross multiply,

2*(9+x) = 3*9

2*9 + 2*x = 27

18 + 2x = 27

       2x = 27 - 18

       2x = 9

          x = 9/2

x = 4.5

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